Joule hypothesised, based on his tests, that the water in a pool at the base of a waterfall should be warmer than the water there. Why could this be? Explain.

Suppose that you go into business raising Thoroughbreds and quarter horses. Having studied linear programming, you decide to maximize the feasible profit you can make. Let $x$ be the number of Thoroughbreds, and let $y$ be the number of quarter horses you raise each year.
a. Write inequalities expressing each of the following requirements:
i. Your supplier can get you at most 20 Thoroughbreds and at most 15 quarter horses to raise each year.
ii. You must raise at least 12 horses, total, each year to make the business worthwhile.
iii. A Thoroughbred eats 2 tons of food per year, but a quarter horse eats 6 tons per year. You can handle no more than 96 tons of food per year.
iv. A Thoroughbred requires 1000 hours of training per year. and a quarter horse only 250 hours per year. You have enough personnel to do at most 10,000 hours of training per year.
b. Draw a graph of the feasible region.
c. One of the inequalities has no effect on the feasible region. Which one? Tell what this means in the real world.
d. What is the minimum feasible number of quarter horses?
e. What is the maximum feasible number of Thoroughbreds?
f. Is it feasible to raise no Thoroughbreds? Explain.
g. You can make a profit of $\$ 500$ for each Thoroughbred and $\$ 200$ for each quarter horse. Shade the portion of the feasible region in which the profit would be at least $\$ 5000$ per year.
h. What is the maximum feasible profit you could make per year, and how would you operate in order to attain that profit?
i. How much more profit do you make per year by operating at the optimum point of part $\mathrm{h}$ rather than by operating at the worst feasible point?

What factors do you think determined whether or not the United States intervened militarily in other nations?

If the firm's required rate of return is 14 percent, what is the net present value of the following project?

$$\begin{array}{cr} \text{Year} & \text{Cash Flow} \\ \hline 0 & \$(75,000) \\ 1 & 50,000 \\ 2 & 40,000 \end{array}$$

For the following term or person, write a sentence explaining its significance for the United States in the 1780s: James Madison

Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are allowed to bring into Canada one bottle of liquor and one carton of cigarettes. A Canada customs agent has produced the following joint probability distribution of the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days.

Find the marginal probability distribution of the number of cigarette cartons imported.

Donnez la nationalit$\'e$ chaque chose ou personne dans les images (Give the nationality of each item in images.)

Model: Fran$\c{c}$aise. La musique est fran$\c{c}$aise.

Image 1: Movie/Flag of the United States.

Image 2: Girl/ Flag of the United States.

Image 3: Clothes/Flag of France.

Image 4: Man/Flag of Canada.

Image 5: Basketball/ Flag of the United States.

Image 6: The name Am$\'e$lie/Flag of France.

Image 7: Hotel/Flag of France.

Image 8: MP3 player/Flag of Algeria.

Image 9: Woman/ Flag of the United States.

Review the vocabulary words listed. Math the words with the definitions below. Alga, asexual reproduction, ciliate, flagellate, protozoan, pseudopodia, spore, sporozoan, alternation of generations, colony, fragmentation, gemetophyte, sporophyte, thallus, plasmodium. Haploid form of an alga that produces gametes

Productco produces three products. Each product requires labor, lumber, and paint. The resource requirements, unit price, and variable cost (exclusive of raw materials) for each product are given in Table 70. Currently, 900 labor hours, 1,550 gallons of paint, and 1,600 board feet of lumber are available. Additional labor can be purchased at $6 per hour, additional paint at$2 per gallon, and additional lumber at $3 per board foot. For the following two sets of priorities, use preemptive goal programming to determine an optimal production schedule. For set 1: Priority 1: Obtain profit of at least$10,500. Priority 2: Purchase no additional labor. Priority 3: Purchase no additional paint. Priority 4: Purchase no additional lumber. For set 2: Priority 1: Purchase no additional labor. Priority 2: Obtain profit of at least $10,500. Priority 3: Purchase no additional paint. Priority 4: Purchase no additional lumber. TABLE 70:

$$\begin{matrix} \text{Product} & \text{Labor} & \text{Lumber} & \text{Paint} & \text{Price (\$)} & \text{Variable Cost (\$)}\\ \text{1} & \text{1.5} & \text{2} & \text{3} & \text{26} & \text{10}\\ \text{2} & \text{3} & \text{3} & \text{2} & \text{28} & \text{6}\\ \text{3} & \text{2} & \text{4} & \text{2} & \text{31} & \text{7}\\ \end{matrix}$$

How much should the United States rely on nuclear power as a source of energy? Explain your view.

It is estimated that $710,000$ metric tons of olive oil were consumed in Italy in 2009-2010. This is $60,000$ metric tons more than $2.5$ times the amount consumed in the United States during the same time period. Find the amount of olive oil consumed in the United States in 2009-2010.

If $\frac{1} {33}$ of all deer in the United States are in Mississippi and $\frac{2} {7}$ of the deer are in Montana, what total fractional part of the deer population is in those two states?

Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are allowed to bring into Canada one bottle of liquor and one carton of cigarettes. A Canada customs agent has produced the following joint probability distribution of the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days.

Compute the mean and variance of the number of cigarette cartons imported.

Margot is from Ireland. She has lived in the United States legally for five years, is $21$ years of age, and has never been in trouble with the law. She passes the citizenship test and swears allegiance to the U.S. Constitution and loyalty to the United States. Can she successfully apply to be a naturalized citizen?